7800679766880 has 1920 divisors, whose sum is σ = 37350309427200. Its totient is φ = 1480570306560.

The previous prime is 7800679766863. The next prime is 7800679766903. The reversal of 7800679766880 is 886679760087.

It is a super-2 number, since 2×7800679766880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7800679766799 and 7800679766808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1258374021 + ... + 1258380219.

It is an arithmetic number, because the mean of its divisors is an integer number (19453286160).

Almost surely, 2^{7800679766880} is an apocalyptic number.

7800679766880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7800679766880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18675154713600).

7800679766880 is an abundant number, since it is smaller than the sum of its proper divisors (29549629660320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7800679766880 is a wasteful number, since it uses less digits than its factorization.

7800679766880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6354 (or 6337 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 7800679766880 in words is "seven trillion, eight hundred billion, six hundred seventy-nine million, seven hundred sixty-six thousand, eight hundred eighty".